Self-similarity problem of thermal convection averaged over a thin layer
Three types of self-simulated replacements for the problem of thermal convection averaged over a thin layer of the vaporizing liquid are presented. It is a model of the drying non-viscous extended droplet specified by the non-thermal diffusivity. For the construction of self-simulated solutions, a t...
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| Format: | Article |
| Language: | Russian |
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Don State Technical University
2016-12-01
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| Series: | Advanced Engineering Research |
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| Online Access: | https://www.vestnik-donstu.ru/jour/article/view/111 |
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| _version_ | 1849250672983146496 |
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| author | Ludmila V. Sakharova |
| author_facet | Ludmila V. Sakharova |
| author_sort | Ludmila V. Sakharova |
| collection | DOAJ |
| description | Three types of self-simulated replacements for the problem of thermal convection averaged over a thin layer of the vaporizing liquid are presented. It is a model of the drying non-viscous extended droplet specified by the non-thermal diffusivity. For the construction of self-simulated solutions, a transition to the Riemann invariants is performed. Self-simulated solutions are functions of time and position determining the drop height, the mass-transfer rate and the heat flow averaged over the drop thickness. The found self-simulated solutions are classified on the basis of the behavior of the function that describes the drop height under the evaporation-condensation. The domains of applicability of various self-simulated solutions to the simulation of different situations of drying drops and films are identified. |
| format | Article |
| id | doaj-art-131071cf5f734487b8e7b30b480b160b |
| institution | Kabale University |
| issn | 2687-1653 |
| language | Russian |
| publishDate | 2016-12-01 |
| publisher | Don State Technical University |
| record_format | Article |
| series | Advanced Engineering Research |
| spelling | doaj-art-131071cf5f734487b8e7b30b480b160b2025-08-20T03:57:12ZrusDon State Technical UniversityAdvanced Engineering Research2687-16532016-12-01164172810.12737/22161111Self-similarity problem of thermal convection averaged over a thin layerLudmila V. Sakharova0Rostov State University of EconomicsThree types of self-simulated replacements for the problem of thermal convection averaged over a thin layer of the vaporizing liquid are presented. It is a model of the drying non-viscous extended droplet specified by the non-thermal diffusivity. For the construction of self-simulated solutions, a transition to the Riemann invariants is performed. Self-simulated solutions are functions of time and position determining the drop height, the mass-transfer rate and the heat flow averaged over the drop thickness. The found self-simulated solutions are classified on the basis of the behavior of the function that describes the drop height under the evaporation-condensation. The domains of applicability of various self-simulated solutions to the simulation of different situations of drying drops and films are identified.https://www.vestnik-donstu.ru/jour/article/view/111математическая модельавтомодельные решениякапляиспарение-конденсацияmathematical modelself-simulated solutionsdropevaporation- condensation |
| spellingShingle | Ludmila V. Sakharova Self-similarity problem of thermal convection averaged over a thin layer Advanced Engineering Research математическая модель автомодельные решения капля испарение-конденсация mathematical model self-simulated solutions drop evaporation- condensation |
| title | Self-similarity problem of thermal convection averaged over a thin layer |
| title_full | Self-similarity problem of thermal convection averaged over a thin layer |
| title_fullStr | Self-similarity problem of thermal convection averaged over a thin layer |
| title_full_unstemmed | Self-similarity problem of thermal convection averaged over a thin layer |
| title_short | Self-similarity problem of thermal convection averaged over a thin layer |
| title_sort | self similarity problem of thermal convection averaged over a thin layer |
| topic | математическая модель автомодельные решения капля испарение-конденсация mathematical model self-simulated solutions drop evaporation- condensation |
| url | https://www.vestnik-donstu.ru/jour/article/view/111 |
| work_keys_str_mv | AT ludmilavsakharova selfsimilarityproblemofthermalconvectionaveragedoverathinlayer |